{"id":"W2522011589","doi":"10.1016/j.jcta.2018.03.012","title":"Subalgebras of Solomon's descent algebra based on alternating runs","year":2018,"lang":"en","type":"article","venue":"Journal of Combinatorial Theory Series A","topic":"Advanced Combinatorial Mathematics","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":false,"ca_institutions":"Université du Québec à Montréal","funders":"Natural Sciences and Engineering Research Council of Canada; Agence Nationale de la Recherche","keywords":"Descent (aeronautics); Mathematics; Noncommutative geometry; Permutation (music); Eulerian path; Symmetric group; Commutative property; Algebra over a field; Pure mathematics; Lagrangian; Physics","routes":{"ca_aff":true,"ca_fund":true,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":false},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0006313231,0.0006904563,0.0009232497,0.001796968,0.002125475,0.002396426,0.00122911,0.0008413558,0.006805491],"category_scores_gemma":[0.001164365,0.0003577605,0.0009960054,0.001024779,0.001857518,0.003103284,0.001871741,0.001896328,0.001529674],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0008936402,"about_ca_system_score_gemma":0.0007531188,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001083665,"about_ca_topic_score_gemma":0.001253384,"domain_scores_codex":[0.9992967,0.0001672651,0.00003966966,0.0001068859,0.0002356563,0.0001538299],"domain_scores_gemma":[0.9994057,0.0001169431,0.00007913658,0.00007002839,0.0001259716,0.0002022111],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00003686794,0.00002129719,0.0001271,0.00001259516,0.000007068641,0.00007393985,0.0001199572,0.0003496042,0.001218711,0.9954917,0.0004346453,0.002106607],"study_design_scores_gemma":[0.00001519137,0.00002557661,0.0001758258,0.000006372109,0.000009837282,0.0001360376,0.00007178707,0.003320243,0.000910883,0.9929157,0.002394585,0.00001791142],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.6700833,0.0006364536,0.1657555,0.001078888,0.0005738997,0.0001119143,0.0005456533,0.0006912251,0.1605232],"genre_scores_gemma":[0.9471622,0.0002289171,0.01957706,0.0003072149,0.0002893218,0.00007878232,0.0003348643,0.0001755081,0.03184626],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.006805491,"threshold_uncertainty_score":0.02276659,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02396680346395673,"score_gpt":0.3041818992252612,"score_spread":0.2802150957613044,"validation_status":"score_only:v0-immature-baseline","note":"Baseline scores from an immature model (maturity gate not passed). Scores rank; they never assert a category."}}